Function Transformations and Reflections

The video tutorial introduces the concept of functions, focusing on linear functions and their graphical representation. It explains the parent function and how alterations such as translations, vertical stretches, and shrinks affect the graph. The tutorial also covers reflections and provides a summary of key concepts, encouraging students to note down terms and reflect on their learning.

What is the primary focus of the lesson on functions?

• Understanding quadratic functions

• Exploring parent functions

• Learning about exponential growth

• Studying trigonometric identities

In a linear function, what is the relationship between x and y values?

• They form a circular path

• They form a quadratic curve

• They form a parabolic shape

• They form a straight line

What does the notation f(x) = x represent in terms of variables?

• f(x) represents a quadratic equation

• f(x) represents the y variable

• f(x) represents a constant

• f(x) represents the x variable

What happens to the parent function when a new y-intercept is added?

• The function becomes quadratic

• The function remains unchanged

• The function shifts vertically

• The function becomes exponential

What is the effect of adding a constant to the parent function f(x) = x?

• It rotates the function

• It translates the function vertically

• It reflects the function

• It stretches the function horizontally

How does the function g(x) = x + 3 differ from the parent function?

• It is shifted 3 units to the left

• It is shifted 3 units upward

• It is shifted 3 units downward

• It is shifted 3 units to the right

What is the result of subtracting 4 from the parent function f(x) = x?

• The function is shifted 4 units to the left

• The function is shifted 4 units to the right

• The function is shifted 4 units downward

• The function is shifted 4 units upward

What is the effect of a slope greater than zero on the parent function?

• It causes a vertical shrink

• It causes a horizontal stretch

• It causes a vertical stretch

• It causes a horizontal shrink

What happens to the function when the slope is a fraction between 0 and 1?

• The function stretches vertically

• The function shrinks vertically

• The function shrinks horizontally

• The function stretches horizontally

What is the term used when a function is reflected over the x-axis?

• Dilation

• Reflection

• Rotation

• Translation